Mixing operators on spaces with weak topology
نویسنده
چکیده
We prove that a continuous linear operator T on a topological vector space X with weak topology is mixing if and only if the dual operator T ′ has no finite dimensional invariant subspaces. This result implies the characterization of hypercyclic operators on the space ω due to Herzog and Lemmert and implies the result of Bayart and Matheron, who proved that for any hypercyclic operator T on ω, T ⊕ T is also hypercyclic. MSC: 47A16, 37A25
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